414321441 has 16 divisors (see below), whose sum is σ = 571209408. Its totient is φ = 266950400.

The previous prime is 414321431. The next prime is 414321451. The reversal of 414321441 is 144123414.

It is an interprime number because it is at equal distance from previous prime (414321431) and next prime (414321451).

It is a cyclic number.

It is not a de Polignac number, because 414321441 - 2⁶ = 414321377 is a prime.

It is not an unprimeable number, because it can be changed into a prime (414321431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2580 + ... + 28901.

It is an arithmetic number, because the mean of its divisors is an integer number (35700588).

Almost surely, 2^414321441 is an apocalyptic number.

414321441 is a gapful number since it is divisible by the number (41) formed by its first and last digit.

It is an amenable number.

414321441 is a deficient number, since it is larger than the sum of its proper divisors (156887967).

414321441 is a wasteful number, since it uses less digits than its factorization.

414321441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31632.

The product of its digits is 1536, while the sum is 24.

The square root of 414321441 is about 20354.8873983621. The cubic root of 414321441 is about 745.4968329854.

Adding to 414321441 its reverse (144123414), we get a palindrome (558444855).

The spelling of 414321441 in words is "four hundred fourteen million, three hundred twenty-one thousand, four hundred forty-one".